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Finding the Fourth Proportional to 11,800.40, 17,692.38 and 5,223.02

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Solution

The fourth proportional to 11,800.40, 17,692.38 and 5,223.02 is: 7,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.40 : 17,692.38 = 5,223.02 : x
  2. Step 2: Convert to fraction form
    11,800.40/17,692.38 = 5,223.02/x
  3. Step 3: Cross multiply
    11,800.40x = 17,692.38 × 5,223.02
  4. Step 4: Simplify right side
    11,800.40x = 92,407,654.59
  5. Step 5: Solve for x
    x = 92,407,654.59/11,800.40
  6. Step 6: Final answer
    x = 7,830.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.